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Finding the Fourth Proportional to 53,236, 79,854.12 and 16,300

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Solution

The fourth proportional to 53,236, 79,854.12 and 16,300 is: 24,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,236 : 79,854.12 = 16,300 : x
  2. Step 2: Convert to fraction form
    53,236/79,854.12 = 16,300/x
  3. Step 3: Cross multiply
    53,236x = 79,854.12 × 16,300
  4. Step 4: Simplify right side
    53,236x = 1,301,622,156
  5. Step 5: Solve for x
    x = 1,301,622,156/53,236
  6. Step 6: Final answer
    x = 24,450.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.